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Finding the Fourth Proportional to 535.12, 800.61 and 473.56

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Solution

The fourth proportional to 535.12, 800.61 and 473.56 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 800.61 = 473.56 : x
  2. Step 2: Convert to fraction form
    535.12/800.61 = 473.56/x
  3. Step 3: Cross multiply
    535.12x = 800.61 × 473.56
  4. Step 4: Simplify right side
    535.12x = 379,136.87
  5. Step 5: Solve for x
    x = 379,136.87/535.12
  6. Step 6: Final answer
    x = 708.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.